Calculators & Converters

    8/13 as a Decimal

    Fraction to Decimal Calculator

    8/13 as a decimal expansion provides the detailed information about what is 8/13 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

    8/13 as a Decimal Expansion
    8/13 = 0.6154
    Hence,
    8/13 as a decimal equals to 0.6154
    where,
    8/13 is a given fraction,
    The decimal expansion of 8/13 is 0.6154

    8/13 as a Mixed Number
    The given fraction 8/13 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 13.

    For values other than 8/13, use this below tool:

    How-to: 8/13 as a Decimal

    The below work with steps provide the detailed information about how to convert fraction 8/13 as a decimal equivalent.
    step 1 Address the input parameters and observe what to be found:
    Input values:
    The fraction = 8/13

    What to be found:
    Find the decimal expansion of fraction 8/13.


    step 2 The numerator is smaller than the denominator of the fraction 8/13, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 8/13.
    = 8/13 x 100/100


    step 3 Rearrange the fraction as like the below:
    = 100 x 8/13 x 1/100
    = 800/13 x 1/100


    step 4 Simplify the above expression further:
    = 800/13 x 1/100
    = 793 + 7/13 x 1/100
    = ( 793/13 + 7/13) x 1/100
    = (61 + 7/13 ) x 1/100


    step 5 Repeat the step 2 to find the decimal equivalent for the fraction 7/13 in the above expression:
    = (61 + 7/13 ) x 1/100
    = (61 + 0.538) x 1/100


    step 6 Simplify the above expression further:
    = (61 + 0.538) x 1/100
    = 61.538 x 1/100
    = 61.538/100
    8/13= 0.61538

    Hence,
    8/13 as a decimal is 0.61538


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